In order to simulate the system where the bugs undergo
superdiffusive Lévy flights (Lévy bugs) one can use a
symmetric Lévy-type probability density function for the jump
size (\(\ell \ge 0\) ), behaving asymptotically as
[1]}, [2]}
\( \varphi _\mu (\ell ) \approx {\tilde{\ell }}^{\mu } |\ell |^{-\mu - 1} \, ,\quad \ell \rightarrow \infty \quad (\ell \gg \tilde{\ell })\) 
